73 ideas
20186 | Unlike knowledge, wisdom cannot be misused [Zagzebski] |
19694 | Wisdom is the property of a person, not of their cognitive state [Zagzebski, by Whitcomb] |
1502 | Parmenides was much more cautious about accepting ideas than his predecessors [Simplicius on Parmenides] |
20221 | Precision is only one of the virtues of a good definition [Zagzebski] |
20220 | Objection by counterexample is weak, because it only reveals inaccuracies in one theory [Zagzebski] |
10147 | The Axiom of Choice is consistent with the other axioms of set theory [Feferman/Feferman] |
10148 | Axiom of Choice: a set exists which chooses just one element each of any set of sets [Feferman/Feferman] |
10149 | Platonist will accept the Axiom of Choice, but others want criteria of selection or definition [Feferman/Feferman] |
10150 | The Trichotomy Principle is equivalent to the Axiom of Choice [Feferman/Feferman] |
10146 | Cantor's theories needed the Axiom of Choice, but it has led to great controversy [Feferman/Feferman] |
10158 | A structure is a 'model' when the axioms are true. So which of the structures are models? [Feferman/Feferman] |
10162 | Tarski and Vaught established the equivalence relations between first-order structures [Feferman/Feferman] |
10160 | Löwenheim-Skolem says if the sentences are countable, so is the model [Feferman/Feferman] |
10159 | Löwenheim-Skolem Theorem, and Gödel's completeness of first-order logic, the earliest model theory [Feferman/Feferman] |
10161 | If a sentence holds in every model of a theory, then it is logically derivable from the theory [Feferman/Feferman] |
10156 | 'Recursion theory' concerns what can be solved by computing machines [Feferman/Feferman] |
10155 | Both Principia Mathematica and Peano Arithmetic are undecidable [Feferman/Feferman] |
448 | No necessity could produce Being either later or earlier, so it must exist absolutely or not at all [Parmenides] |
447 | Being must be eternal and uncreated, and hence it is timeless [Parmenides] |
449 | Being is not divisible, since it is all alike [Parmenides] |
1503 | There is no such thing as nothing [Parmenides] |
445 | The realm of necessary non-existence cannot be explored, because it is unknowable [Parmenides] |
21820 | Parmenides at least saw Being as the same as Nous, and separate from the sensed realm [Parmenides, by Plotinus] |
452 | All our concepts of change and permanence are just names, not the truth [Parmenides] |
1504 | Something must be unchanging to make recognition and knowledge possible [Aristotle on Parmenides] |
444 | The first way of enquiry involves necessary existence [Parmenides] |
450 | Necessity sets limits on being, in order to give it identity [Parmenides] |
20188 | Modern epistemology is too atomistic, and neglects understanding [Zagzebski] |
20223 | Epistemology is excessively atomic, by focusing on justification instead of understanding [Zagzebski] |
20217 | Truth is valuable, but someone knowing the truth is more valuable [Zagzebski] |
20191 | Some beliefs are fairly voluntary, and others are not at all so [Zagzebski] |
20222 | Knowledge either aims at a quantity of truths, or a quality of understanding of truths [Zagzebski] |
451 | Thinking implies existence, because thinking depends on it [Parmenides] |
1506 | Parmenides treats perception and intellectual activity as the same [Theophrastus on Parmenides] |
3058 | Only reason can prove the truth of facts [Parmenides] |
20225 | For internalists Gettier situations are where internally it is fine, but there is an external mishap [Zagzebski] |
20226 | Gettier problems are always possible if justification and truth are not closely linked [Zagzebski] |
20228 | We avoid the Gettier problem if the support for the belief entails its truth [Zagzebski] |
20227 | Gettier cases arise when good luck cancels out bad luck [Zagzebski] |
20194 | Intellectual virtues are forms of moral virtue [Zagzebski] |
20210 | A reliable process is no use without the virtues to make use of them [Zagzebski] |
20206 | Intellectual and moral prejudice are the same vice (and there are other examples) [Zagzebski] |
20208 | We can name at least thirteen intellectual vices [Zagzebski] |
20215 | A justified belief emulates the understanding and beliefs of an intellectually virtuous person [Zagzebski] |
20187 | Epistemic perfection for reliabilism is a truth-producing machine [Zagzebski] |
20218 | The self is known as much by its knowledge as by its action [Zagzebski] |
20205 | The feeling accompanying curiosity is neither pleasant nor painful [Zagzebski] |
20202 | Motives involve desires, but also how the desires connect to our aims [Zagzebski] |
20216 | Modern moral theory concerns settling conflicts, rather than human fulfilment [Zagzebski] |
20193 | Moral luck means our praise and blame may exceed our control or awareness [Zagzebski] |
20199 | Nowadays we doubt the Greek view that the flourishing of individuals and communities are linked [Zagzebski] |
20196 | Virtue theory is hopeless if there is no core of agreed universal virtues [Zagzebski] |
20200 | A virtue must always have a corresponding vice [Zagzebski] |
20201 | Eight marks distingush skills from virtues [Zagzebski, by PG] |
20203 | Virtues are deep acquired excellences of persons, which successfully attain desire ends [Zagzebski] |
20207 | Every moral virtue requires a degree of intelligence [Zagzebski] |
20214 | Virtue theory can have lots of rules, as long as they are grounded in virtues and in facts [Zagzebski] |
20213 | We need phronesis to coordinate our virtues [Zagzebski] |
20209 | For the virtue of honesty you must be careful with the truth, and not just speak truly [Zagzebski] |
20197 | The courage of an evil person is still a quality worth having [Zagzebski] |
555 | People who say that the cosmos is one forget that they must explain movement [Aristotle on Parmenides] |
5081 | There could be movement within one thing, as there is within water [Aristotle on Parmenides] |
1509 | The one can't be divisible, because if it was it could be infinitely divided down to nothing [Parmenides, by Simplicius] |
20900 | Defenders of the One say motion needs the void - but that is not part of Being [Parmenides, by Aristotle] |
226 | The one is without any kind of motion [Parmenides] |
1505 | Reason sees reality as one, the senses see it as many [Aristotle on Parmenides] |
453 | Reality is symmetrical and balanced, like a sphere, with no reason to be greater one way rather than another [Parmenides] |
1792 | He taught that there are two elements, fire the maker, and earth the matter [Parmenides, by Diog. Laertius] |
5115 | It is feeble-minded to look for explanations of everything being at rest [Aristotle on Parmenides] |
13217 | The void can't exist, and without the void there can't be movement or separation [Parmenides, by Aristotle] |
22918 | What could have triggered the beginning [of time and being]? [Parmenides] |
1794 | He was the first to discover the identity of the Morning and Evening Stars [Parmenides, by Diog. Laertius] |
1791 | He was the first person to say the earth is spherical [Parmenides, by Diog. Laertius] |